Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation

The potential Korteweg-de Vries equation is investigated by using the sine-cosine method and generalized Kudryashov method. A variety of exact wave solutions that contain shock solutions, periodic solutions and solitons solutions are formally derived. Also, conservation laws of the equation is determined by using the multiplier approach. In addition, the restrictions on the physical parameters of obtained solutions are presented.